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Finding the Third Proportional to 9,763,224 and 20,995,730

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Solution

The third proportional to 9,763,224 and 20,995,730 is: 45,151,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763,224 : 20,995,730 = 20,995,730 : x
  2. Step 2: Convert to fraction form
    9,763,224/20,995,730 = 20,995,730/x
  3. Step 3: Cross multiply
    9,763,224x = 20,995,730 × 20,995,730
  4. Step 4: Simplify right side
    9,763,224x = 440,820,678,232,900
  5. Step 5: Solve for x
    x = 440,820,678,232,900/9,763,224
  6. Step 6: Final answer
    x = 45,151,138.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.